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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：纽约州立大学奥尔巴尔分校
学位：博士
所在单位：数学科学学院
学科：基础数学
电子邮箱：yangyixin@dlut.edu.cn
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AN INDEX FORMULA FOR THE TWO VARIABLE JORDAN BLOCK
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论文类型：期刊论文
发表时间：2011-02-01
发表刊物：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
收录刊物：Scopus、SCIE
卷号：139
期号：2
页面范围：511-520
ISSN号：0002-9939
关键字：Index formula; two variable Jordan block; evaluation operator; Hardy space over bidisk
摘要：On Hardy space H(2)(D(2)) over the bidisk, let (S(z), S(w)) be the compression of the pair (T(z), T(w)) to the quotient module H(2)(D(2)) circle minus M. In this paper, we obtain an index formula for (S(z), S(w)) when it is Fredholm. It is also shown that the evaluation operator L(0) is compact on a Beurling type quotient module if and only if the corresponding inner function is a finite Blaschke product in w.